Oofrence

I was able to get a pretty good score in math on the SAT just by studying from various AOPS textbooks. Khan Academy has also made a SAT practice that has problems in math that are similar to the ones on the test

There is a 1/2 probability that you took the first right path, then another 1/2 probability that you took the next fork correctly

1/2 x 1/2 = 1/4 probability that you took the correct path

You should use the addition method when there are two of the same amount of variables or in a situation where you could easily multiply one equation to get the same amount of variables in the other, like 2 equations both having 4x.

If it is hard, then just use substitution

2x + 4y = 8

4x + 6y = 14

I know this isn't a real linear function, but you can see that you can easily divide the second equation by 2 so that both equations have 2x, then you ocan do the addition method

5x + 3y = 18

17x + 7y = 3

Here, it would take more work to make either x or y be the same value, so you could do the substituion method.

1/2 x 4 would equal 4/2. 4 divided by 2 is 2, so...

1/2 x 4 = 2

For the first one, the coordinates given form a Hexagon that can be split into a rectangle and 2 triangles by cutting lines from (3,7) to (3,1) and from (7,7) to (7,1). The rectangle in the middle would have width of 4 and height of 6.

Therefore the area of the rectangle would be 4 x 6 = 24.

The height of one of the two triangles is 3 and the base is 6, so the area of one of the triangles is 3 x 6/2 = 9

Then we have to do the perimeter.

The side length of one of the legs of the triangles is 3\(\sqrt2\)

3\(\sqrt2\) x 4 (amount of legs) = 12\(\sqrt2\)

The width of the rectangle is 4, 4 x 2= 8

The total perimeter would then be 12\(\sqrt2\) + 8

True, I feel like everybody will be more likely to click on the one that seems urgent then the one that just posts the question

Try using substituion method to solve this problem, where you find what S equals in terms of B, then substituting S in the second equation for that.